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happyphysics.com Physics Lecture Physics Lecture Resources Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com
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Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

Dec 13, 2015

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Page 1: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

happyphysics.com

Physics Lecture Physics Lecture ResourcesResources

Prof. Mineesh GulatiHead-Physics Wing

Happy Model Hr. Sec. School, Udhampur, J&K

Website: happyphysics.com

Page 2: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

Ch 23 Electric Ch 23 Electric PotentialPotential

© 2005 Pearson Education

Page 3: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

23.1 Electric Potential Energy23.1 Electric Potential Energy

UUUUUW abbaba )(

work done by a conservative force

© 2005 Pearson Education

Page 4: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

0a bW q Ed

© 2005 Pearson Education

Page 5: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 6: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 7: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

02

0

02

0

02

0

1

4

1

4

1cos cos

4

b b

a a

b b

a a

r

r r

a b rr r

r r

a b r r

qqF

r

qqW F dr dr

r

qqW F dl dl

r

© 2005 Pearson Education

Page 8: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

r

qqU 0

04

1

electric potential energy of two point charges

© 2005 Pearson Education

Page 9: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 10: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

i i

i

r

qq

r

q

r

q

r

qqU

0

0

3

3

2

2

1

1

0

0

44

Point charge and collection of charges

© 2005 Pearson Education

Page 11: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

23.2 Electric Potential23.2 Electric Potential

© 2005 Pearson Education

Page 12: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

r

q

q

UV

00 4

1

Potential due to a point charge

i i

i

r

q

q

UV

00 4

1

Potential due to a collection of point charges

r

dqV

04

1

Potential due to a continuous distribution of charge

© 2005 Pearson Education

Page 13: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

potential difference as an integral of

© 2005 Pearson Education

b

a

b

aba dlEdVV coslE

Page 14: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

23.3 Calculating Electric Potential23.3 Calculating Electric Potential

© 2005 Pearson Education

Example 23.8 A solid conducting sphere of radius R has a total charge q. Find potential everywhere, both outside and inside the sphere.

Page 15: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

23.4 Equipotential Surfaces23.4 Equipotential Surfaces

© 2005 Pearson Education

Page 16: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Equipotential surface

Page 17: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 18: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 19: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 20: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 21: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 22: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

23.5 Potential Gradient23.5 Potential Gradient

x

VEx

y

VE y

z

VE z

components of in terms of

z

V

y

V

x

VkjiE ˆˆˆ

in terms of E

V

© 2005 Pearson Education

Page 23: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 24: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 25: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 26: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 27: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Two equivalent sets of units for electric-field magnitude are volts per meter (V/m) and newtons per coulomb (N/C). One volt is one joule per coulomb (1V-1 J/C). A useful unit of energy is the electron volt (eV), which is the energy corresponding to a particle with a charge equal to that of an electron moving through a potential difference of one volt. The conversion factor is 1 eV=1.602power-19J

Page 28: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.
Page 29: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2005 Pearson Education

Page 30: Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

ENDEND

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